Representing 3-manifolds by Dehn spheres

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dc.book.titleContribuciones matemáticas : libro homenaje al profesor D. Joaquín Arregui Fernández
dc.contributor.authorMontesinos Amilibia, José María
dc.contributor.editorLafuente López, Javier
dc.contributor.editorPozo Coronado, Luis Miguel
dc.date.accessioned2023-06-20T21:07:37Z
dc.date.available2023-06-20T21:07:37Z
dc.date.issued2000
dc.description.abstractLet M be a closed orientable 3-manifold. A Dehn sphere S is a 2-sphere immersed in M with only double curve and triple point singularities. S fills M if S defines a cell decomposition of M. It is proven that every closed orientable 3-manifold has a filling Dehn sphere. Examples are given, and Johansson diagrams are proposed as a method for representing all closed orientable 3-manifolds.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/22238
dc.identifier.isbn84-7491-581-3
dc.identifier.urihttps://hdl.handle.net/20.500.14352/60752
dc.language.isoeng
dc.page.final247
dc.page.initial239
dc.page.total381
dc.publication.placeMadrid
dc.publisherEditorial Complutense
dc.rights.accessRightsopen access
dc.subject.cdu515.164
dc.subject.keyword3-manifold
dc.subject.keywordDehn sphere
dc.subject.keywordJohansson diagram
dc.subject.keywordHeegaard diagram
dc.subject.ucmGeometría diferencial
dc.subject.ucmTopología
dc.subject.unesco1204.04 Geometría Diferencial
dc.subject.unesco1210 Topología
dc.titleRepresenting 3-manifolds by Dehn spheres
dc.typebook part
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery7097502e-a5b0-4b03-b547-bc67cda16ae2
relation.isEditorOfPublication38d24ccf-5c11-420a-8fac-487c18b5cc1b
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